Finite volume corrections to pi-pi scattering

Abstract

Lattice QCD studies of hadron-hadron interactions are performed by computing the energy levels of the system in a finite box. The shifts in energy levels proportional to inverse powers of the volume are related to scattering parameters in a model independent way. In addition, there are non-universal exponentially suppressed corrections that distort this relation. These terms are proportional to exp(-m_pi L) and become relevant as the chiral limit is approached. In this paper we report on a one-loop chiral perturbation theory calculation of the leading exponential corrections in the case of I=2 pi-pi scattering near threshold.

17 pages, 2 figures, 1 table. Version published in PRD

Cited by in corpus (48)

• Two-particle multichannel systems in a finite volume with arbitrary spin
• Three-particle scattering amplitudes from a finite volume formalism
• Nuclear Physics from Lattice QCD
• The Deuteron and Exotic Two-Body Bound States from Lattice QCD
• Hyperon-Nucleon Scattering from Fully-Dynamical Lattice QCD
• Multichannel one-to-two transition amplitudes in a finite volume
• Improving the Volume Dependence of Two-Body Binding Energies Calculated with Lattice QCD
• Precise Determination of the I=2 pipi Scattering Length from Mixed-Action Lattice QCD
• The pi+ pi+ scattering length from maximally twisted mass lattice QCD
• The I=2 pipi S-wave Scattering Phase Shift from Lattice QCD
• Extracting Scattering Phase-Shifts in Higher Partial-Waves from Lattice QCD Calculations
• Two-Nucleon Systems in a Finite Volume: (I) Quantization Conditions
• The $\pi \pi \to \pi {\gamma }^{\star }$ amplitude and the resonant $\rho \to \pi {\gamma }^{\star }$ transition from lattice QCD
• Towards grounding nuclear physics in QCD
• Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
• Finite-volume Hamiltonian method for coupled channel interactions in lattice QCD
• The K+K+ Scattering Length from Lattice QCD
• Two Meson Systems with Ginsparg-Wilson Valence Quarks
• Lattice methods for strongly interacting many-body systems
• Chiral study of the $a_0(980)$ resonance and $\pi \eta$ scattering phase shifts in light of a recent lattice simulation
• Scattering lengths for two pseudoscalar meson systems
• High Statistics Analysis using Anisotropic Clover Lattices: (IV) Volume Dependence of Light Hadron Masses
• Nucleon-Nucleon Scattering in a Harmonic Potential
• Lattice QCD study of the s-wave $\pi \pi$ scattering lengths in the I=0 and 2 channels
• Hadron-Hadron Interactions from $N_f=2+1+1$ Lattice QCD: isospin-2 $\pi \pi$ scattering length
• Universality of Mixed Action Extrapolation Formulae
• Fitting two nucleons inside a box: exponentially suppressed corrections to the Luscher's formula
• Connecting physical resonant amplitudes and lattice QCD
• Two-Particle Elastic Scattering in a Finite Volume Including QED
• Hidden charm molecules in finite volume
• Finite volume treatment of pi pi scattering and limits to phase shifts extraction from lattice QCD
• Nuclear Reactions from Lattice QCD
• Two-particle scattering from finite-volume quantization conditions using the plane wave basis
• External Momentum, Volume Effects, and the Nucleon Magnetic Moment
• Pion scattering in Wilson ChPT
• Pion Scattering in Wilson Chiral Perturbation Theory
• pi-pi Scattering in Twisted Mass Chiral Perturbation Theory
• Exponential reduction of finite volume effects with twisted boundary conditions
• Lattice determination of $I=0$ and 2 $\pi \pi$ scattering phase shifts with a physical pion mass
• Isotropic and Anisotropic Lattice Spacing Corrections for I=2 pi-pi Scattering from Effective Field Theory
• $\Delta I=3/2$ and $\Delta I=1/2$ channels of $K\to \pi \pi$ decay at the physical point with periodic boundary conditions
• Spectrum of light nuclei in a finite volume
• Topics in Effective Field Theory for Lattice QCD
• On the Determination of Elastic and Inelastic Nuclear Observables from Lattice QCD
• Pion mass dependence of the $K_{l3}$ semileptonic scalar form factor within finite volume
• Finite isospin density probe for conformality
• Topics in Lattice QCD and Effective Field Theory
• Pion scattering in finite volume within the Inverse Amplitude Method